Voluntary Operational Research

Operational Research has traditionally been carried out in organizations which are able and willing to pay for it; this tends to restrict it to the larger industrial, commercial or governmental bodies. In this paper we reflect on an O.R. project done on behalf of a group of charities, to whom, as with most voluntary organizations, the skills of operational researchers are not usually available.It seems likely that voluntary organizations will have an increasing role as leisure time increases, and in any case the widening scope and complex context of their activities means that they could benefit from the kind of help that operational researchers can give. At the same time, O.R. workers who care about a particular voluntary organization may want to offer their skills to it. However, the skills of operational researchers are not as obviously relevant to voluntary organizations as is the professional expertise of lawyers and accountants. Undertaking O.R. projects as a voluntary helper rather than as a paid consultant, and in voluntary organizations rather than the more usual clients for O.R., has significant implications for the approach and methods used.We discuss these issues in the light of our recent experiences of carrying out ‘voluntary Operational Research’.     

The contiguity of probability measures and asymptotic inference in continuous time stationary diffusions and Gaussian processes with known covariance

We establish contiguity of families of probability measures indexed by T, as T → ∞, for classes of continuous time stochastic processes which are either stationary diffusions or Gaussian processes with known covariance. In most cases, and in all the examples we consider in Section 4, the covariance is completely determined by observing the process continuously over any finite interval of time. Many important consequences pertaining to properties of tests and estimators, outlined in Section 5, will then apply.     

Introducing the Microcomputer into the O.R. Department

This paper reviews the typical main-frame computer services that are currently available and by accepting the alleged advantages of microcomputers postulates the ideal computing requirements of O.R. departments. Experience of microcomputers in O.R. departments, within the N.C.B. and elsewhere, is considered in relation to these ideal requirements. It is concluded that although some main-frame computer services will remain essential to O.R. and accepting that the main-frame can give a reasonable general computing service, the micro offers additional advantages. These include: lower cost and/or better service, the ability to configure the equipment exactly to meet O.R. needs; full control over applications and priorities; and portability - which means that computing power can now be taken direct to the manager by the O.R. department.     

The Role of Management Science

Many of the arguments that are found in the literature on the theme "O.R./M.S. in crisis" stem not just from alternative definitions of O.R./M.S., but from differences in strongly held views about its scope and role in organisations, and these are then reflected in the vehemence with which certain definitions are defended or criticised. It is when the hopes and aspirations of O.R./M.S. are compared with what is being achieved in practice, that we realise the degree to which O.R./M.S. has failed to live up to its original promise. In most organisations, O.R. analysts are expected and are happy to act as technicians and not as advisers, so that technique orientation and concern with tactical problems are constantly reinforced. In addition, managers in various functions have become aware of the potential contribution of analytical modelling in their own spheres and have begun to recruit analysts direct, resulting in the possible fragmentation of O.R. and the loss of its unique identity. The responsibilities of O.R./M.S. obviously relate not only to its organisational status, but also to an examination of and an identification with organisational goals. Many O.R. analysts are plainly more comfortable when these goals are clearly defined for them, an attitude which people from other professions will readily endorse, but if O.R./M.S. has any aspirations to get involved in strategic problems, it will have to pose questions about the validity and appropriateness of organisational goals and try to influence the formulation of problems accordingly.     

Manufacturer's optimal pricing and lot-sizing policies under trade-credit financing

In the year 2006, Teng et al considered an appropriate economic production quantity (EPQ) model in which the manufacturer receives the supplier's trade credit and provides trade credit to the customer simultaneously. The following two payment methods were discussed by Teng et al: The main purpose of this paper is summarized below: Finally, with a view to further motivating the interested researchers for using the methodology and mathematical analytic techniques in several other contexts in the field, we have chosen to include, in Section 12, a number of related recent works in the field.     

Constraint satisfaction problems: Algorithms and applications

A constraint satisfaction problem (CSP) requires a value, selected from a given finite domain, to be assigned to each variable in the problem, so that all constraints relating the variables are satisfied. Many combinatorial problems in operational research, such as scheduling and timetabling, can be formulated as CSPs. Researchers in artificial intelligence (AI) usually adopt a constraint satisfaction approach as their preferred method when tackling such problems. However, constraint satisfaction approaches are not widely known amongst operational researchers. The aim of this paper is to introduce constraint satisfaction to the operational researcher. We start by defining CSPs, and describing the basic techniques for solving them. We then show how various combinatorial optimization problems are solved using a constraint satisfaction approach. Based on computational experience in the literature, constraint satisfaction approaches are compared with well-known operational research (OR) techniques such as integer programming, branch and bound, and simulated annealing.     

THE CALCULUS OF GENERATING FUNCTIONS AND THE FORMAL ENERGY FOR HAMILTONIAN ALGORITHMS

1.DarbouxTransformationConsidercotangentbundleT*R"acRZnwithnaturalsymplecticstructureandtheproductofcotangentbundles(T*R")x(T*R")=R4nwithnaturalproductsymplecticstructureCorrespondingly,weconsidertheproductspaceR"xR"rsRZn.ItscotangentbunT*(R"xR")=T*Rzn=R'nhasnaturalsymplecticstructure')PreparedbyQinMengzhaoChoosesymplecticcoordinatesz~(p,q)onthesymplecticmanifold,thenforsymplectictransformationg:T*R"~T*R",wehaveitisaLagrangiansubmanifoldofT*R"xT*RninR4n~(R'",J4.).NotethatonR4nth…     

Nonprobabilistic entropies and indetermination measures in the setting of fuzzy sets theory

Our purpose in this paper is first of all to build an axiomatic generalization for the nonprobabilistic entropy of De Luca and Termini in the setting of fuzzy sets theory.We then build from this entropy an indetermination measure which can be used like discriminant function in Pattern Recognition when patterns are described by means of fuzzy sets.     

Anthropology and O.R.: The Place of Observation in Management Science Process

This paper is an argument to combine the methods of observation with O.R. techniques to form the basis of a management science process. The paper begins by defining a typology showing where observation methods seem to be most appropriate in O.R. interventions. This is followed by a section outlining some of the techniques and problems of observation as seen from the field of anthropology. Using this theory, combined with personal experience, an observation process is developed. An example of using the process is then given.     

O.R. and the Systems Movement: Mappings and Conflicts

The ‘crisis’ debate in O.R. expresses concern at the divergence between textbook O.R. and what practitioners actually do. The debate is examined by comparing O.R., systems analysis and systems engineering. They are all wedded to logic in situations in which logic may not be paramount. The science in O.R. applies only to aggregate results, but the practitioner must deal with a specific situation. The tradition of systems thinking which emerged from organismic biology is described. It leads to a way out of the O.R. ‘crisis’, by providing a formal structuring of a paradigm of learning rather than optimization. O.R. can aspire to match natural science, and pass the problems by; or it can close the textbook/practitioner gap by changing its concept of ‘being scientific’.