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The ever increasing pressure to conserve the environment from global warming cannot be overemphasized. Emission from the inventory and production process contributes immensely to global warming and hence, the need to device a sustainable green inventory by the operational managers. In this paper, a multi-item multi-objective inventory model with back-ordered quantity incorporating green investment in order to save the environment is proposed. The model is formulated as a multi-objective fractional programming problem with four objectives: maximizing profit ratio to total back-ordered quantity, minimizing the holding cost in the system, minimizing total waste produced by the inventory system per cycle and minimizing the total penalty cost due to green investment. The constraints are included with budget limitation, space restrictions, a constraint on cost of ordering each item, environmental waste disposal restriction, cost of pollution control, electricity consumption cost during production and cost of greenhouse gas emission in the production process. The model effectiveness is illustrated numerically, and the solution obtained to give a useful suggestion to the decision-markers in the manufacturing sectors. more...

The motivation behind this paper is to present multi-level multi-objective quadratic fractional programming (ML-MOQFP) problem with fuzzy parameters in the constraints. ML-MOQFP problem is an important class of non-linear fractional programming problem. These type of problems arise in many fields such as production planning, financial and corporative planning, health care and hospital planning. Firstly, the concept of the -cut and fuzzy partial order relation are applied to transform the set of fuzzy constraints into a common crisp set. Then, the quadratic fractional objective functions in each level are transformed into non-linear objective functions based on a proposed transformation. Secondly, in the proposed model, separate non-linear membership functions for each objective function of the ML-MOQFP problem are defined. Then, the fuzzy goal programming (FGP) approach is utilized to obtain a compromise solution for the ML-MOQFP problem by minimizing the sum of the negative deviational variables. Finally, an illustrative numerical example is given to demonstrate the applicability and performance of the proposed approach. more...

The traditionally used linear programming model for feed formulation has sought the least- cost combination of ingredients that satisfies a specific level of nutritional requirements. Together with the search for the lowest possible cost, other aspects such as maximising diet efficiency in relation to proposed production objectives and minimising any excess that may lead to unacceptable damage to the environment, are other factors that are gaining in impor- tance in the world of animal nutrition. Taking into account all these factors forces us not only to bear in mind the individual concentrations of each of the nutrients in the feed but also the ratios of these with other nutrients. In this work we show how a multi-objective fractional programming model is better adapted to current needs in feed design than the traditionally used least cost linear model. We also show how the model can be solved using the interactive multi-goal programming method with existing linear optimisation software. more...

In this study the optimal cropping pattern for Piranshahr- one of western Azarbaijan’s cities- was determined using Multi-objective Fuzzy Fractional Programming with the aim of moving toward sustainable agriculture. The cross section data of 2007-2008 were used for our analysis. Data were gathered through filling out 600 questionnaires from 60 villages of Piranshahr city by using two-stage random sampling method. The results showed that the optimal cropping pattern using the Multi-objective Fuzzy Fractional Programming to achieve sustainability is different with the current cropping pattern. Moreover, the results of the stability indices (ratio of gross income to the use of chemical fertilizers and pesticides) showed the significance of this goal was built for sustainability. Sustainability indices determined for chemical pesticides fungicides, herbicides, insecticide, nitrogen, phosphate and fertilizer. Results indicate that elimination or minimization of chemical pesticides and fungicides is more important than other inputs. more...

Ovaj rad je zamišljen da poveže oblast razvoja informacionih sistema sa oblašću operacionih istraživanja i to kroz primenu različitih tehnika mekog računarstva i optimizacije u jednom od savremenih pristupa razvoju aplikacija – servisnoorijentisanom pristupu. Servisno-orijentisani pristup pripada novoj generaciji pristupa za razvoj distribuiranih aplikacija i automatizaciju poslovanja preduzeća koji vodi unapređenju efikasnosti, agilnosti i produktivnosti preduzeća i stoga se danas sve više primenjuje. Osnovna ideja je da se omogući fleksibilno programsko povezivanje nezavisno razvijenih softverskih komponenti – servisa (koje mogu biti realizovane na različitim platformama i u različitim programskim jezicima). Primena principa servisnoorijentisane paradigme vodi ka razvoju servisa čija je funkcionalnost nezavisna od bilo kog konkretnog poslovnog procesa i koji se samim tim mogu koristiti na različite načine u različitim aplikacijama. Web servisi predstavljaju fizički nezavisne softverske komponente, dostupne na internetu, koje pružaju određenu funkcionalnost. Budući da se zasnivaju na skupu široko prihvaćenih standarda oni su danas dominantni način realizacije servisnoorijentisanih softverskih rešenja. S obzirom na to da se web servisi nezavisno razvijaju i objavljuju na internetu svakim danom sve je veći broj dostupnih servisa koji pružaju istu funkcionalnost. Očigledno je da je problem selekcije najboljeg, iz skupa servisa koji pružaju istu funkcionalnost, sve aktuelniji. Nefunkcionalne karakteristike servisa (eng. Quality of Service – QoS) tada postaju sve značajnije. Pri tome se selekcija zapravo najčešće vrši na osnovu većeg broja nefunkcionalnih karakteristika koje su po svojoj prirodi veoma heterogene... This thesis proposes to combine two different fields of study, that of information systems and that of operational research, through the application of various soft computing and optimization techniques in the service-oriented approach to modern software development. Service-orientation represents a new generation approach for developing distributed applications and business process automation which can increase business efficiency, agility and productivity, and as such has grown to be widely adopted. It is based on the idea that distributed applications can be flexibly and dynamically composed by integrating independently developed software components – services (which may be developed on different platforms and in different programming languages). The application of service-oriented paradigm principles leads to the development of services whose functionality is independent of any specific business process and which can therefore be used in various applications in different ways. Web services are physically independent software components, accessible on the Internet, which provide certain functionality. Due to the fact that they are based on a set of widely adopted standards they are the predominant approach for implementing modern service-oriented software solutions. With the proliferation of web services offering similar functionality (due to the fact that they are independently developed and published on the Internet) the problem of how to choose the best one, from a vast collection of suitable services, is becoming increasingly important. The non-functional properties of services (Quality of Service – QoS) thus play an important role in the process. Furthermore, the selection is usually based on multiple non-functional characteristics which are very heterogeneous in nature... more...

First a new notion of the random exponential Hanson–Antczak type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\alpha ,\beta ,\gamma ,\xi ,\eta ,\rho ,h(\cdot ,\cdot ,\cdot ),\theta )$$\end{document}(α,β,γ,ξ,η,ρ,h(·,·,·),θ)-V-invexity is introduced, which generalizes most of the existing notions in the literature, second a random function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$h(\cdot ,\cdot ,\cdot )$$\end{document}h(·,·,·) of the second order is defined, and finally a class of asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programming is established. Furthermore, several sets of asymptotic sufficiency results in which various generalized exponential type \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$HA(\alpha ,\beta ,\gamma ,\xi ,\eta ,\rho ,h(\cdot ,\cdot ,\cdot ),\theta )$$\end{document}HA(α,β,γ,ξ,η,ρ,h(·,·,·),θ)-V-invexity assumptions are imposed on certain vector functions whose components are the individual as well as some combinations of the problem functions are examined and proved. To the best of our knowledge, all the established results on the semi-infinite aspects of the multi-objective fractional programming are new, which is a significantly new emerging field of the interdisciplinary research in nature. We also observed that the investigated results can be modified and applied to several special classes of nonlinear programming problems. more...