The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...

The household activity pattern problem of analyzing/predicting the optimal path of household members through time and space as they complete a prescribed agenda of out-of-home activities is posed as a variant of the pickup and delivery problem with time windows. The most general case of the model includes provision for vehicle transfer, selective activity participation, and ridesharing options....

We have used Fowler's Observation pattern (published in [Fowler 97a]) in a project involving the maintenance of medical records of patients. The pattern has been modi ed to suit the project's particular requirements. We end up with a substantially modied model which could be regarded as an alternative solution. In this paper, we present that alternative model and the underlying rationale. We al...

in this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form d_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0x(0)= x'(0)=0, x'(1)=beta x(xi), where $d_{0^{+}}^{alpha}$ denotes the standard riemann-liouville fractional derivative, 0an illustrative example is also presented.

An interactive heuristic approach can offer a practical solution to the problem of linear integer programming (LIP) by combining an optimization technique with the Decision Maker’s (DM) judgment and technical supervision. This is made possible using the concept of bicriterion linear programming (BLP) problem in an integer environment. This model proposes two bicriterion linear programs for iden...

resource leveling and allocation are two basic categories for project management. the objective of resource allocation is to schedule activities so that a particular resource does not exceed a specific limit in any given project time period, while holding the project duration to a minimum. the resource leveling problem arises when there are sufficient resources available and it is necessary to ...