We prove that combinatorial demand functions are characterized by two properties: continuity and the law of demand.

Operations research (OR) is concerned with scientifically deciding how to best design and operate people–machine systems, usually under conditions requiring the allocation of scarce resources. This publication, one of a series, is offered to supervisors, lead people, middle managers, and anyone who has responsibility for operations planning in manufacturing facilities or corporate planning over...

This paper deals with issues concerning the core as a solution concept for games in coalitional form as well as the use of these games in representing economies of a certain formal type. Side-payment games are imbedded in the more general class of no-side-payment games. It is shown that to a given side-payment game having an empty core one may associate two different no-side payment games with ...

We assume we have solved the problems (P) and (D), and that we have an optimal basis B ⊆ {1, 2, . . . , n}. Sensitivity analysis then refers to using to the basis B to solve a modified version (P’) and (D’) of the problems (P) and (D) from modified data A, b and c (whenever this information is useful). This is best done by example. Note that, if the optimal basic matrix AB remains unchanged, th...

The present work is a contribution of mathematical and operations research models that help in arriving at the best replacement strategies to determine an age of motor vehicle at which the replacement is most economical. Parameters like depreciation, money value, forecasted inflation, nominal interest rate and real interest rate are taken into consideration in model development and for various ...

Current approaches to retail productivity measurement have long been controversial because of difficulties in identifying the level of retail services. Data Envelopment Analysis, an operations research-based performance evaluation methodology, is introduced as one solution for resolving this problem and assessing managerially useful measure of storelevel retail productivity. Data Envelopment An...

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We address the area of scheduling and the di erences between the way operations research and arti cial intelligence approach scheduling. We introduce the concept of constraint programming, and describe how operations research techniques can be integrated in constraint programming. Finally, we give a short overview of the results obtained with our approach.