در این مقاله یک مدل ریاضی برای مسئله سیستم تولیدی همکارانه ساخت بر اساس سفارش با رعایت انصاف تخصیص بار‌های تولید طراحی شده است. اهداف اصلی مدل، کمینه‌سازی هزینه‌‌های کل و حداکثر استفاده از منابع به‌منظور عادلانه شرایط عدم­قطعیت کنترل پارامتر‌های غیرقطعی روش برنامه‌ریزی فازی ‌شده نتایج نشان می‌دهد افزایش نرخ عدم‌قطعیت، می­یابد. ازآنجاکه ظرفیت کارخانه‌ها ثابت است، مقدار تقاضا، هر کارخانه نیز می­ی...

In this paper, we consider the homogenization problem for generalized elliptic systems$ \mathcal{L}_{ \varepsilon} = -\operatorname{div}[A(x/ \varepsilon)\nabla+V(x/ \varepsilon)]+B(x/ \varepsilon)\nabla+c(x/ \varepsilon)+\lambda I $with dimension two. Precisely, will establish $ W^{1, p} estimates, Hölder Lipschitz estimates and L^p convergence results with The operator has been studied by Qia...

Fix $\varepsilon>0$ and a nonnull graph $H$. A well-known theorem of Rödl from the 80s says that every $G$ with no induced copy $H$ contains linear-sized $\varepsilon$-restricted set $S\subseteq V(G)$, which means $S$ induces subgraph maximum degree at most $\varepsilon |S|$ in or its complement. There are two extensions this result:
 
 quantitatively, Nikiforov (and later Fox Suda...

A temporal graph is a in which the edge set can change from one time step to next. The exploration problem TEXP of computing foremost schedule for graph, i.e., walk that starts at given start node, visits all nodes and has smallest arrival time. In first part paper, we consider only undirected graphs are connected each step. For such with $n$ nodes, show it \NP-hard approximate ratio $O(n^{1-\v...

Let $\Gamma$ be a group and $\mathscr{C}$ class of groups endowed with bi-invariant metrics. We say that is $\mathscr{C}$-stable if every $\varepsilon$-homomorphism $\Gamma \rightarrow G$, $(G,d) \in \mathscr{C}$, $\delta_\varepsilon$-close to homomorphism, $\delta_\varepsilon\to 0$ when $\varepsilon\to 0$. If $\delta_\varepsilon < C \varepsilon$ for some $C$ we $ \mathscr{C} $-stable linear ra...

We establish the error bounds of fourth-order compact finite difference (4cFD) methods for Dirac equation in massless and nonrelativistic regime, which involves a small dimensionless parameter $0 < \varepsilon \le 1$ inversely proportional to speed light. In this solution propagates waves with wavelength $O(\varepsilon)$ time $O(1)$ space, as well wave $O(1/\varepsilon)$ rapid outgoing waves. a...

A recent result of Alon, Ben-Eliezer and Fischer establishes an induced removal lemma for ordered graphs. That is, if \(F\) is graph \(\varepsilon›0\), then there exists \(\delta_{F}(\varepsilon)›0\) such that every \(n\)-vertex \(G\) containing at most \(\delta_{F}(\varepsilon) n^{v(F)}\) copies can be made \(F\)-free by adding/deleting \(\varepsilon n^2\) edges. We prove \(\delta_{F}(\varepsi...

[PDF] [Full Text] [Abstract] , January 1, 2005; 174 (1): 68-79. J. Immunol. Q.-H. Liu, X. Liu, Z. Wen, B. Hondowicz, L. King, J. Monroe and B. D. Freedman Receptor Engagement and Mechanical Stimuli Distinct Calcium Channels Regulate Responses of Primary B Lymphocytes to B Cell [PDF] [Full Text] [Abstract] , April 1, 2005; 85 (2): 757-810. Physiol Rev A. B. Parekh and J. W. Putney Jr. Store-...

We study the early work scheduling problem on identical parallel machines in order to maximize total work, i.e., parts of non-preemptive jobs that are executed before a common due date. By preprocessing and constructing an auxiliary instance which has several good properties, for any desired accuracy $$\varepsilon $$ , we propose efficient polynomial time approximation scheme with running $$O\l...