This paper deals with solvability of the following functional equation arising in dynamic programming of multistage decision processes f(x) = opt y∈D { u(x, y)(p(x, y) + f(a(x, y))) + v(x, y) opt{q(x, y), f(b(x, y))} } , ∀x ∈ S. Using the Banach fixed point theorem and new iterative techniques, we obtain the existence and uniqueness of solutions for the above equation in the complete metric spa...

We consider the problem of allocating resources to satisfy demand requirements varying over time. The input specifies a demand for each timeslot. Each resource is specified by a start-time, end-time, an associated cost and a capacity. A feasible solution is a multiset of resources such that at any point of time, the sum of the capacities offered by the resources is at least the demand requireme...

Agile software development is an approach to software that focuses on lightweight processes and adaptability to change. The best-known agile methodology is called Extreme Programming. It suggests twelve practices that include iterative development practices, automated unit testing, and pair programming. Extreme Programming is designed for small projects, but has been picked up through grassroot...

acceptance sampling models have been widely applied in companies for the inspection and testing the raw material as well as the final products. a number of lots of the items are produced in a day in the industries so it may be impossible to inspect/test each item in a lot. the acceptance sampling models only provide the guarantee for the producer and consumer that the items in the lots are acco...

this study develops a long run optimal pattern for nomadic ranchers of fars province under climate uncertainty by simulating dynamic process of livestock and forage productivity as well as employing dynamic stochastic programming. results indicate that the nomadic representatives do not perform, optimally. despite their attachments to livestock as an asset, and their life dependency on livestoc...

A new replacement analysis methodology is developed to determine system-level component replacement schedules for radial electricity distribution configurations composed of sets of heterogeneous assets. The proposed model is an iterative combined dynamic programming and integer programming approach to obtain cost-efficient system-level component replacement schedules with the objective of minim...

A new component replacement analysis method to solve asset replacement problems for complex electricity distribution systems is developed. In the present model a Taylor series expansion is used to approximate the associated opportunity cost for each component in the system. The method is based on an iterative dynamic programming and integer programming methods to obtain optimal system-level com...