diff --git a/checkin_notes b/checkin_notes
index 9fa5f1a603..300eef7162 100644
--- a/checkin_notes
+++ b/checkin_notes
@@ -5592,3 +5592,12 @@ David  17 Aug 2012
         sched_vda.cpp
         vda_lib2.cpp
         vda_lib.h
+
+David  17 Aug 2012
+    - client: if a project has excluded GPUs of a given type,
+        allow it to fetch work of that type if the # of runnable
+        jobs it <= the # of non-excluded instances (rather than 0).
+
+    client/
+        work_fetch.cpp,h
+        rr_sim.cpp
diff --git a/client/rr_sim.cpp b/client/rr_sim.cpp
index 06489e3642..552a8d7e90 100644
--- a/client/rr_sim.cpp
+++ b/client/rr_sim.cpp
@@ -156,12 +156,12 @@ void RR_SIM::init_pending_lists() {
             // if it's past its deadline, we need to mark it as such
 
         PROJECT* p = rp->project;
-        p->pwf.has_runnable_jobs = true;
+        p->pwf.n_runnable_jobs++;
         p->rsc_pwf[0].nused_total += rp->avp->avg_ncpus;
         int rt = rp->avp->gpu_usage.rsc_type;
         if (rt) {
             p->rsc_pwf[rt].nused_total += rp->avp->gpu_usage.usage;
-            p->rsc_pwf[rt].has_runnable_jobs = true;
+            p->rsc_pwf[rt].n_runnable_jobs++;
         }
         p->rsc_pwf[rt].pending.push_back(rp);
         set_rrsim_flops(rp);
diff --git a/client/work_fetch.cpp b/client/work_fetch.cpp
index dd9073e686..ef816e6e91 100644
--- a/client/work_fetch.cpp
+++ b/client/work_fetch.cpp
@@ -143,7 +143,7 @@ bool RSC_PROJECT_WORK_FETCH::compute_may_have_work(PROJECT* p, int rsc_type) {
 void RSC_PROJECT_WORK_FETCH::rr_init(PROJECT* p, int rsc_type) {
     may_have_work = compute_may_have_work(p, rsc_type);
     fetchable_share = 0;
-    has_runnable_jobs = false;
+    n_runnable_jobs = 0;
     sim_nused = 0;
     nused_total = 0;
     deadlines_missed = 0;
@@ -264,18 +264,19 @@ PROJECT* RSC_WORK_FETCH::choose_project_hyst(bool strict) {
         }
 
         // if project has excluded GPUs of this type,
-        // and it has runnable jobs for this type,
+        // and it has more runnable jobs than non-excluded instances,
         // don't fetch work for it.
         // TODO: THIS IS CRUDE. Making it smarter would require
         // computing shortfall etc. on a per-project basis
         //
         if (rsc_type) {
-            if (p->ncoprocs_excluded[rsc_type] == ninstances) {
+            int n_not_excluded = ninstances - p->ncoprocs_excluded[rsc_type];
+            if (n_not_excluded == 0) {
                 continue;
             }
             if (p->ncoprocs_excluded[rsc_type]
-                && p->rsc_pwf[rsc_type].has_runnable_jobs
-            ){
+                && p->rsc_pwf[rsc_type].n_runnable_jobs > n_not_excluded
+            ) {
                 continue;
             }
         }
@@ -503,7 +504,7 @@ void WORK_FETCH::rr_init() {
     for (unsigned int i=0; i<gstate.projects.size(); i++) {
         PROJECT* p = gstate.projects[i];
         p->pwf.cant_fetch_work_reason = p->pwf.compute_cant_fetch_work_reason(p);
-        p->pwf.has_runnable_jobs = false;
+        p->pwf.n_runnable_jobs = 0;
         for (int j=0; j<coprocs.n_rsc; j++) {
             p->rsc_pwf[j].rr_init(p, j);
         }
diff --git a/client/work_fetch.h b/client/work_fetch.h
index 5bfa0ea541..1633882671 100644
--- a/client/work_fetch.h
+++ b/client/work_fetch.h
@@ -97,7 +97,7 @@ struct RSC_PROJECT_WORK_FETCH {
         // this project's share relative to projects from which
         // we could probably get work for this resource;
         // determines how many instances this project deserves
-    bool has_runnable_jobs;
+    int n_runnable_jobs;
     double sim_nused;
     double nused_total;     // sum of instances over all runnable jobs
     int deadlines_missed;
@@ -113,7 +113,7 @@ struct RSC_PROJECT_WORK_FETCH {
         queue_est = 0;
         anon_skip = false;
         fetchable_share = 0;
-        has_runnable_jobs = false;
+        n_runnable_jobs = 0;
         sim_nused = 0;
         nused_total = 0;
         deadlines_missed = 0;
@@ -269,7 +269,7 @@ struct PROJECT_WORK_FETCH {
         // temporary used during RR simulation
     int cant_fetch_work_reason;
     int compute_cant_fetch_work_reason(PROJECT*);
-    bool has_runnable_jobs;
+    int n_runnable_jobs;
     PROJECT_WORK_FETCH() {
         memset(this, 0, sizeof(*this));
     }