An Optimal Control Approach to National Settlement System Planning

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/477 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/477 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/477 archive 351 disk0/00/00/04/58 2016-01-15 01:42:46 2021-08-27 17:08:09 2016-01-15 01:42:46 monograph show 2 Mehra R.K. AL0259 An Optimal Control Approach to National Settlement System Planning pub iis_mod iis_mig prog_sds In this paper, an optimal control approach to a problem in national settlement system planning is presented. The problem description is the same as considered by MacKinnon [6] and by Evtushenko and MacKinnon [4]. It is shown how the special structure of the model and the singular nature of the control can be used to reduce the solution of a nonlinear programming problem to the solution of sets of linear equations. A branch and bound integer programming algorithm is used to handle inequality constraints on the control variables. The organization of the paper is as follows. Section I considers problem formulation and an optimal control solution is discussed in Section II. A branch and bound technique for determining active constraints is presented in Section III. A more general problem is considered in Section IV and conclusions are stated in Section V. 1975-11 published RM-75-058 RM-75-058 10 2182 public research_memorandum IIASA, Laxenburg, Austria 17 FALSE info:eu-repo/semantics/book