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The managing director of a steel plant faces the decision of how much of each raw material to order for the plant for the following month. Due to lower and upper bounds on the amounts of each raw material in a batch and varying amounts of electricity and time consumed for different raw materials, one can't simply use the cheapest raw material. A linear program and the solver optimization function of Excel will provide the optimal amounts that meet the constraints. Interestingly, the best mixture for a batch is not the best mixture for a monthly plan. Shadow prices indicate the value of relaxing constraints. The typical monthly model from a student will be nonlinear, although it can be written as a linear model. This case provides the basis for an introductory class on linear programming and linear versus nonlinear models.

This case can be used to develop students’ understanding of optimization and the development of a linear programing (LP) model and solution. The instructor’s manual provides one possible solution based on the LP tools available in excel.

This case is based on real events at waypoint adventure and is derived from the authors’ experience consulting with this organization as they sought to improve pricing and scholarship management.

A young non-profit organization serving the disabled community in Boston sought growth but lacked clarity and consistency in their program pricing and scholarship structures. The case analysis centers on revising program prices to achieve specific cost and revenue requirements and determining a scholarship policy that will maximize participation in their outdoor adventure programing for the upcoming year. This case allows the exploration of optimization with an atypical objective, as the organization seeks to maximize participant engagement rather than profit.

The target audience includes upper-level undergraduate and MBA or early graduate-level students studying the optimization techniques of operations management, revenue and pricing management or marketing. The case would also be useful for discussing the challenges faced by non-profits and the non-traditional objectives that can arise for these organizations.

The case primarily focused on a real-life problem and shows that existing operations management tools can be used to solve a complex problem. Through this case, the participants will learn the application of the factor loading method and aggregate planning.

This case revolves around the Modi Agro Pvt. Ltd, a mango procurement and distribution business established in 1994 by Mr Dhanush Modi in Mumbai, India. Mr Mahendra Modi, son of the company owner, observed that the different seasons of cultivation and varied customer demands lead to changing workforce requirements during the procurement process. In addition, the production quality, variety, available resources, procurement location and cost play a significant role in establishing a long-term relationship with the customers. This case highlights the problem faced by Mahendra in determining an appropriate location among all available options for mango procurement and the optimal workforce for each month to meet the varying customers’ demands.

The case can be used as teaching material for participants of the course Service Operations Management, Operations Management, Decision Analysis and Quantitative Techniques

Teaching notes are available for educators only.

CSS 9: Operations and logistics.

The case provides an opportunity to students to learn about the basic concepts in Project Management using a situation that can be easily understood by all. The case provides the instructor an opportunity to demonstrate to the students as to how precedence relationships are to be generated from assertions made about a project by the project in-charge – a feature that is generally missing in most cases on the subject. The case also provides an opportunity to develop a Linear Programming (LP) model for the project. The teaching note accompanying the case provides a simple, innovative LP formulation and outlines as to how it can be used to identify the critical path and the critical activities. The case can be taught in one session (if LP formulation is not covered). Else, since it is suitable for two sessions, the model can be developed and solved in the class in the second session.

The case of Bertelsmann China: Supply Chain for Books (B) is situated in China in the beginning of 2006. Bertelsmann Direct Group, the Chinese subsidiary of the worldwide Bertelsmann AG, is one of the leading book retailers in the country. Supply chain management is essential for success in retailing, which is why Bertelsmann puts a lot of effort into the optimization of its supply chain design. As costs are paramount to importance in the low-margin book retailing sector, linear programming methods are applied to optimize the network

At the core of this case is a distribution, or sourcing, problem that can be modeled and solved using linear programming (LP). There are also issues of whether to build (a) new plant(s)––and if so, what the capacity should be––and whether to expand or close one or more of the existing plants. These latter issues can be analyzed using a 0/1 LP facility-location model. Alternatively, because the number of options is limited, they can be analyzed using the straight LP model of the distribution problem as a tool to facilitate analysis.

The subject areas are Operations Management, Operations Research, Transportation and Logistics.

The following courses (MBA/Post Graduate level) can use the case as part of their teaching material: Applied Forecasting Techniques; Optimization Methods; Operations Research.

The case details a problem faced by the Gokuldhaam Society. The society was located a great distance from the city, as the majority of the residents who live in the society work in the nearby industrial area. To cater to the daily needs of residents, the society has shuttle buses plying to and from the city at different times during the day. However, due to operational inefficiencies, the administration faced excessive transportation costs. Looking for advice in this regard, the chairman of the society contacted the Head of Department at Operations Management, Indira Institute of Management, Indore hoping to find a way to reduce some of the operational costs.

The expected learning outcomes are as follows: to make the students apply two different stationary time series forecasting techniques to a real-life problem and data set; to make the students carefully choose a specific trend-based time series forecasting technique due to the inherent constraints in the availability of data set; and to make students appreciate the importance of application of linear programming in a time series problem.

Teaching Notes are available for educators only. Please contact your library to gain login details or email support@emeraldinsight.com to request teaching notes.

CSS 9 Operations and logistics

Operations Research and Operation Management.

Undergraduate/MBA/Postgraduate.

The case depicts an opportunity for students to be exposed to optimization techniques using linear programming (LP). This case intends to: generate the LP model (identification of objective function and constraints); apply MS-Excel solver to arrive at an optimal solution; analyse manufacturing scenarios; and plan decision dependencies.

VBK Fibreo Tech Industries was a manufacturer of fibre reinforced plastic (FRP) products for industrial and domestic applications. Despite being a new entrant, it managed to exhibit great performance and attract a loyal base of customers. This case brings to light the problem that the company was facing that is demand exceeding capacity. The protagonist of the case Madhav, the Production Manager, was tasked to solve the problem of “product mix”. He was in a dilemma on how to fulfill customer orders while minimizing losses for his company. He knew that while losses were inevitable in the current scenario, they could be minimized with appropriate planning. Students are expected to use data and facts from the case and exhibit to formulate LP, by identifying the objective function and the constraints. They are also encouraged to use MS-Excel solver to find the optimal product mix and understand the decision dependencies.

This case can be used to teach LP in an undergraduate/postgraduate-level course on operations research. Students are exposed to the creation of a mathematical model for optimization and along with devising the implementation plan.

Teaching notes are available for educators only.

CSS 9: Operations and logistics.

The learning outcomes are to remember the overall context of global supply chain management from a stakeholder perspective, to understand the context of material handling movement in a mining industry, to apply the overall knowledge of linear programming in a supply chain context, to analyze the different constraints with flow of goods at different nodes in various location hubs and convert the same into the optimization problem and to evaluate carefully the different costs associated at different levels and then finding the optimal solution that minimizes the total cost.

This case proposes a mixed integer multi-echelon analytical model integrated with the scenario tree analysis. The integrated model is used to optimize the allocation of volumes at various stages of the supply chain of exporters of bulk materials like iron ore from Goa, India, to various countries in Asia. The scenario tree analysis is then used to evaluate decisions under certainty with demand as the stochastic parameter. The proposed integrated model has potential for collaboration in the supply chain and facilitating network design, inventory and transportation planning and policy analysis.

This course is suitable at the MBA level for the following courses: Operations Research (Focus/Session: Applications on Supply Chain Management), Supply Chain Management (Focus/Session: Global Supply Chain Management, Logistics Planning, Distribution Network), Logistics Management (Focus/Session: Transportation Planning) nd Operations Strategy (Focus/Session: Location Node Strategy).

Teaching Notes are available for educators only.

CSS 9: Operations and Logistics.

This case describes the coal-procurement process of a small electric utility. The manager of the production fuel department must decide how much coal to purchase from each vendor and how to allocate the purchased coal among the utility's three coal-burning plants. The situation can be modeled and solved as a linear program. Sensitivity analysis can be used to help formulate a strategy for negotiating with the vendors and to address other special issues.